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y=x^6-7x
The derivative of the function/ y=x^6-7x

Derivative of y=x^6-7x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 6      
x  - 7*x
$$x^{6} - 7 x$$ 
d / 6      \
--\x  - 7*x/
dx
$$\frac{d}{d x} \left(x^{6} - 7 x\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        5
-7 + 6*x
$$6 x^{5} - 7$$
Simplify
The second derivative [src] 
    4
30*x
$$30 x^{4}$$
Simplify
The third derivative [src] 
     3
120*x
$$120 x^{3}$$
Simplify
The graph
Derivative of y=x^6-7x
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